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Find the angle between line (x+1)/3=(y-1...

Find the angle between line `(x+1)/3=(y-1)/2=(z-2)/4` and the plane `2x+y-3z+4=0.`

A

`cos^(-1)(-4//sqrt(406))`

B

`sin^(-1)(-4//sqrt(406))`

C

`30^(@)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. If a x+b y+c z=p , then minimum value of x^2+y^2+z^2 is (p/(a+b+c))^2 ...

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  2. The image of the point A (1,0,0) in the line (x - 1)/(2) = (x + 1)/(-3...

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  3. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  4. P is a fixed point (a,a,a) on a line through the origin equally inclin...

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  5. The length of the perpendicular from P(1,6,3) to the line x/1=(y-1)/(2...

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  6. The equation of line which passes through the intersection of the plan...

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  7. If(q+r)x+(r+p)y+(p+q)z=k and(q-r)x+(r-p)y+(p-q)z=k represent the e...

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  8. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

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  9. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  10. Equation of a line passing through (-1,2,-3) and perpendicular to the ...

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  11. Equation of a line passing through (1,-2,3) and parallel to the plane ...

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  12. The S.D between the lines (x+3)/-3=(y+7)/2=(z-6)/4 is equal to

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  13. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

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  14. The lines (x-a+b)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+delta), (...

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  15. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

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  16. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  17. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

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  18. The lines (x-2)/gamma=(y-4)/2=(z-5)/1 are coplaner ifgamma is

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  19. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

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  20. If the straight lines (x-1)/k = (y-2)/2 =(z-3)/3 and (x-2)/3 = (y-3)...

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